Determine if the function is continuous to its domain
1 answer:
Yes, it is continuous to its domain
<h2>Explanation:</h2><h2></h2>In order to find the domain of the function we need to get the restrictions:
1. From natural log:
2. From quotient:
Matching these two restrictions the domain is:
So the function is continuous to its domain because is defined for every x-value in the interval )
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Answer:
17.5 m
Step-by-step explanation:
The height of a parabola above its vertex is proportional to the square of the distance from the vertex.
<h3>Cable height</h3>The towers are 1200 m apart, so each is 600 m from center. The location of interest is 300 m from center, so 1/2 the distance to a tower. Since the height is proportional to the square of the distance, the height half-way to the tower will be (1/2)² = 1/4 the height of the tower.
(1/2)²×(70 m) = 17.5 m
The height of the cable 300 m from center will be 17.5 meters.
